For the matrix $$X = \left[ {\matrix{ 0 & 1 & 1 \cr 1 & 0 & 1 \cr 1 & 1 & 0 \cr } } \right]$$, (X² $$-$$ X) is

Let X = {x² : x $$\in$$ N} and the function f : N $$\to$$ X is defined by f(x) = x², x $$\in$$ N. Then this function is

The corner points of the feasible region for a Linear Programming problem are P(0, 5), Q(1, 5), R(4, 2) and S(12, 0). The minimum value of the objective function Z = 2x + 5y is at the point

The equation of the normal to the curve ay² = x³ at the point (am², am³) is